২৩০৬১
Find the average of all whole number 1 and 100 that end in 3.
উত্তর
None of them
সমাধান
The numbers are 3, 13, 23.33.......93So difference between each number is same. This series in AP.The avarage formula for AP is (first + last term)/2Therefore the answer is (3 + 93)/2 = 48.
২৩০৬২
If N and P are both odd numbers, which of the following numbers must be an even number?
উত্তর
N+P
২৩০৬৩
What percent of 25 is 0.20?
উত্তর
0.8
সমাধান
let x% of 25 is 0.2
so, (x/100) × 25 = 0.2
so, x = 0.8
২৩০৬৪
If the area of rectangle R with length 4 feet is equal to the area of square S, which has a perimeter of 24 feet , then the perimeter of rectangle R equals -
উত্তর
26 Feet
সমাধান
Side of the square S = 24/4 = 6
Area of the rectangle R = Area of the square S = 62 = 36
So, length of the rectangle R = 36 / 4 = 9
Therefore, perimeter of the rectangle R = 2(9 + 4) = 26 feet
২৩০৬৫
In a sugar-water solution, the ratio of water to sugar is 8:3. If you add 2 Kgs of sugar, the ratio become 2:1. What was the amount of sugar in the original solution?
উত্তর
6
সমাধান
W : S = 8 : 3
W/S = 8/3
3W = 8S
Again, W/(s + 2) = 2/1
1W = 2s + 4
3W = 6S + 12
8S = 6S + 12
S = 6
২৩০৬৬
If the diameter of a circle is doubled the area will be -
উত্তর
4 Times
সমাধান
Area of a circle is propotional to the square of the diameter. So, if the diameter of a square is doubled, its area will be quadrupled or 4 times.
২৩০৬৭
The difference between two numbers is 7 and their product is 60, then one of the two numbers must be -
উত্তর
5
সমাধান
x - y = 7; x = (y + 7)
xy = 60
or , (y + 7).y = 60
or, y² + 7y - 60 = 0
or, (y + 12) (y – 5) = 0
So, Y = - 12,5
So, the two number is 12 and 5
২৩০৬৮
Ms. Lyla wants to put up fencing around three sides of her rectangular garden and have a side of 20 meter unfenced. If the yard has an area of 680 square meters, how many yards of fencing does she need?
উত্তর
88
সমাধান
Length of the garden = 680/20 = 34 meter
Total length of the three sides = 2×34 + 20 = 68 + 20 = 88 meter
২৩০৬৯
A pen was sold at 15% loss. If the selling price was Tk. 8 more, than the seller could have made a profit of 10%. What was the purchase price of pen?
উত্তর
32
সমাধান
Let,
Purchase price = Tk.x
At 15% loss SP = Tk.(17x/20)
At 10% profit SP = Tk.(11x/10)
As per question ,
(17x/20) + 8 = (11x/10)
Or, 5x = 160
Or, x = 32
Therefore, the required value = Tk.32
২৩০৭০
The price of a certain television set is discounted by 10 percent, and the reduced price is then discounted by 10 percent. The series of successive discount is equivalent to a single discount of -
উত্তর
19%